40055109120 has 840 divisors, whose sum is σ = 157147727616. Its totient is φ = 9782083584.

The previous prime is 40055109071. The next prime is 40055109131. The reversal of 40055109120 is 2190155004.

40055109120 is a `hidden beast` number, since 4 + 0 + 0 + 551 + 0 + 91 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 315394497 + ... + 315394623.

Almost surely, 2^40055109120 is an apocalyptic number.

40055109120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40055109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78573863808).

40055109120 is an abundant number, since it is smaller than the sum of its proper divisors (117092618496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40055109120 is an equidigital number, since it uses as much as digits as its factorization.

40055109120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 40055109120 in words is "forty billion, fifty-five million, one hundred nine thousand, one hundred twenty".